Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations

Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations

We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our result...

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Bibliographic Details
Main Authors: Adeyanju A.A., Fabelurin O.O., Akinbo G., Aduroja O.O., Ademola A.T., Ogundiran M.O., Ogundare B.S., Adesina O.A.
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak 2024-01-01
Series:Mathematica Moravica
Subjects:
stability
boundedness
asymptotic behaviour
lyapunov function
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322402033A.pdf
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Summary:We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. The equation considered is new and more general. Hence, our results are new, generalized and improved on some earlier established results. In order to verify the correctness of our obtained results, a numerical example is provided with the trajectories of the solutions.
ISSN:1450-5932
2560-5542

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